y = -1/2(x) + 1 (option D)
Step-by-step explanation:
The ordered pairs:
{(-6, 4), (-4, 3), (-2, 2), (0, 1), (2, 0), (4, -1), (6, -2)}
To determine the line of best fit, we will check each of the options having the equation of line with the above ordered pairs.
a) y = -2x + 1
when x = -6, y should be 4
substituting for x:
y = -2(-6) + 1 = 12 + 1
y = 13
This is different from the output of the ordered pair (-6, 4)
b) y = 2x + 1
when x = -6, y should be 4
substituting for x:
y = 2(-6) + 1 = -12 + 1
y = -11
This is different from the output of the ordered pair (-6, 4)
c) y = 1/2 x + 1
when x = -6, y should be 4
susbtituting for x:
y = 1/2 (-6) + 1 = -3 + 1
y = -2
d) y = -1/2 (x) + 1
when x = -6, y should be 4
sustituting for x:
y = -1/2 (-6) + 1 = 3 + 1
y = 4 (this correct)
To ascertain the option is correct, we will use another point (2, 0)
when x = 2, y should 0
y = -1/2(2) + 1 = -1 + 1
y = 0 correct
Hence, the equaton of line of best fit y = -1/2(x) + 1 (option D)